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x^{3}+x^{2}-12x+2-x^{2}-3x+6
To find the opposite of x^{2}+3x-6, find the opposite of each term.
x^{3}-12x+2-3x+6
Combine x^{2} and -x^{2} to get 0.
x^{3}-15x+2+6
Combine -12x and -3x to get -15x.
x^{3}-15x+8
Add 2 and 6 to get 8.
x^{3}+x^{2}-12x+2-x^{2}-3x+6
To find the opposite of x^{2}+3x-6, find the opposite of each term.
x^{3}-12x+2-3x+6
Combine x^{2} and -x^{2} to get 0.
x^{3}-15x+2+6
Combine -12x and -3x to get -15x.
x^{3}-15x+8
Add 2 and 6 to get 8.